Answer:
To answer this question, more information needs to be disclosed.
Answer:
{9,14,20}
Step-by-step explanation:
hope it helps
Answer:
x>4
Step-by-step explanation:
x+3>19-3x
x+3x>19-3
4x>16
x>4
Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:
![-2(x^2-2x+1)=-3](https://tex.z-dn.net/?f=-2%28x%5E2-2x%2B1%29%3D-3)
On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:
![-2(x-1)^2+3=y](https://tex.z-dn.net/?f=-2%28x-1%29%5E2%2B3%3Dy)
From this form,
![y=-a(x-h)^2+k](https://tex.z-dn.net/?f=y%3D-a%28x-h%29%5E2%2Bk)
you can determine the coordinates of the vertex to be (1, 3)
Answer:
f(x) = -1/x+5 +2
Step-by-step explanation: